1.The One-Dimensional Quantum Spin Chain 1.1 The S = 1/2 XXZ Spin Chain 1.2 The Jordan-Wigner Transformation and the Quantum Kink 1.3 The Bethe Ansatz and the Exact Solution 2.Quantum Field Theory in 1+1 Dimensions 2.1 Bosonization 2.2 Conformal Field Theory 2.3 The Non-linear Sigma Model 3.Strongly Correlated Electronic Systems 3.1 Models of Strongly Correlated Electronic Systems 3.2 Spin-Charge Separation in One Dimension 3.3 Magnetic Ordering in Strongly Correlated Electronic Systems 3.4 Self-consistent Renormalization Theory 4.Local Electron Correlation 4.1 The Kondo Effect 4.2 Dynamical Mean Field Theory 5.Gauge Theory of Strongly Correlated Electronic Systems 5.1 Gauge Theory of Quantum Anti-ferromagnets 5.2 Gauge Theory of the Doped Mott Insulator 5.3 Gauge Theory of Quantum Hall Liquids Appendix A.Complex Functions A.1 Projection from the z-Plane to the w-Plane A.2 Contour Integral of f（z） Around the Path C B.The Variational Principle and the Energy-Momentum Tensor Literature Index
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